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Finding the Third Proportional to 4,138 and 5,807

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Solution

The third proportional to 4,138 and 5,807 is: 8,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138 : 5,807 = 5,807 : x
  2. Step 2: Convert to fraction form
    4,138/5,807 = 5,807/x
  3. Step 3: Cross multiply
    4,138x = 5,807 × 5,807
  4. Step 4: Simplify right side
    4,138x = 33,721,249
  5. Step 5: Solve for x
    x = 33,721,249/4,138
  6. Step 6: Final answer
    x = 8,149.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.